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Simplifying 0.25w + -6 = 0.83w + 8 Reorder the terms: -6 + 0.25w = 0.83w + 8 Reorder the terms: -6 + 0.25w = 8 + 0.83w Solving -6 + 0.25w = 8 + 0.83w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.83w' to each side of the equation. -6 + 0.25w + -0.83w = 8 + 0.83w + -0.83w Combine like terms: 0.25w + -0.83w = -0.58w -6 + -0.58w = 8 + 0.83w + -0.83w Combine like terms: 0.83w + -0.83w = 0.00 -6 + -0.58w = 8 + 0.00 -6 + -0.58w = 8 Add '6' to each side of the equation. -6 + 6 + -0.58w = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -0.58w = 8 + 6 -0.58w = 8 + 6 Combine like terms: 8 + 6 = 14 -0.58w = 14 Divide each side by '-0.58'. w = -24.13793103 Simplifying w = -24.13793103
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